What do you know about the link between artwork and mathematics? Mention some examples.
I know about the link between artwork and mathematics are things related to the proportion as the picture Vitruvian Man made by Da Vinci, the Greek Parthenon, the Pyramid of Cheops and others that I can’t remember now.
3. Please write what the following referents (in bold letters) refer to in the text:
Mathematicians often rhapsodize about the austere elegance of a well-wrought proof. But math also has a simpler sort of beauty that is perhaps easier to appreciate...
That refers to a simpler sort of beauty.
That beauty was richly on display at an exhibition of mathematical art at the Joint Mathematics Meeting in San Diego in January, where more than 40 artists showed their creations.
Where refer to an exhibition of mathematical art.
A mathematical dynamical system is just any rule that determines how a point moves around a plane. Field uses an equation that takes any point on a piece of paper and moves it to a different spot. Field repeats this process over and over again—around 5 billion times—and keeps track of how often each pixel-sized spot in the plane gets landed on. The more often a pixel gets hit, the deeper the shade Field colors it.
It refers to any point on a piece of paper. This process refer to the process of to move any point on a piece of paper to a different spot. It refers to a pixel.
The reason mathematicians are so fascinated by dynamical systems is that very simple equations can produce very complicated behavior. Field has found that such complex behavior can create some beautiful images.
Such complex behavior refers to behavior produced by very simple equations.
Robert Bosch, a mathematics professor at Oberlin College in Ohio, took his inspiration from an old, seemingly trivial problem that hides some deep mathematics. Take a loop of string and throw it down on a piece of papaer. It can form any shape you like as long as the string never touches or crosses itself. A theorem states that the loop will divide the page into two regions, one inside the loop and one outside.
His refer to Robert Bosch. That refers to an old, seemingly trivial problem. It refers to a loop of string. Itself refer to the string. One inside refer to one of the two regions. One outside refer to the other region.
It is hard to imagine how it could do anything else, and if the loop makes a smoothly curving line, a mathematician would think that is obvious too. But if a line is very, very crinkly, itmay not be obvious whether a particular point lies inside or outside the loop. Topologists, the type of mathematicians who study such things have managed to construct many strange, "pathological" mathematical objects with very surprising properties, so they know from experience that you shouldn't assume a proof is unnecessary in cases like this one.
It refers to a line. Who refer to the Topologists. You refer to the persons that are reading this article. This one refer to mathematical objects with very surprising properties.
After reading the text, please answer the following questions in your own words:
1. What is a mathematical dynamical System?
A mathematical dynamical System is any rule that determines how a point moves around a plane.
2. Why does the image "Coral Star" get more and more complex?
Coral Star gets more and more complex when is closer to the center, because it is discontinuous at the origin.
3. Find a definition of the following words that fits in the text, please acknowledge the source:
Loop, crinckly, string
Loop: 1. a. A length of line, thread, ribbon, or other thin material that is curved or doubled over making an opening. b. The opening formed by such a doubled line. 2. Something having a shape, order, or path of motion that is circular or curved over on itself. Source: http://www.thefreedictionary.com/Loop
Crinckly: v.intr. 1. To form wrinkles or ripples. 2. To make a soft crackling sound; rustle. v.tr.
To cause to crinkle. n.
A wrinkle, ripple, or fold.
Source: http://www.thefreedictionary.com/crinkly
String: 1. A cord usually made of fiber, used for fastening, tying, or lacing. 2. Something configured as a long, thin line: limp strings of hair.
Source: http://www.thefreedictionary.com/string
4. Where did Robert Bosch take his inspiration from? Describe the source of his inspiration.
Robert Bosch took inspiration from an old problem that consists in to throw a loop of string to a piece of paper and to see if the loop divide the paper into two regions, one inside and the other outside.
5. What happened with Fathauer's arrangement? Why?
He saw that the shape was approximate to a pyramid and he found that their faces formed the Sierpinski Triangle, which is one of the first and most important fractal studied.
6. How did Andrew Pike create the Sierpinski carpet?
Andrew Pike took a square and divided it into a pattern of tic tac toe and took out the middle square and then he did the same with all the remaining squares infinitely.
7. Why did he choose that image?
He chooses that image because it was his auto-referential.
Reading Log 2 - Math on Display. Visualizations of mathematics create remarkable artwork
Pre-Reading
Read the title and write a list of ten words you think you might find in the text.
1. Mathematics.
2. Display.
3. Create.
4. Artwork.
5. Art.
6. See.
7. Screen.
8. Exhibition.
9. Beauty.
10. Work.
What do you know about the link between artwork and mathematics? Mention some examples.
I know about the link between artwork and mathematics are things related to the proportion as the picture Vitruvian Man made by Da Vinci, the Greek Parthenon, the Pyramid of Cheops and others that I can’t remember now.
During Reading and After Reading
1. Please click on the following link to read the article.
**http://www.sciencenews.org/view/generic/id/9383/title/Math_on_Display**
2. While reading, please locate the words you listed in the pre-reading and write a list of the ones you found in the text
1. Beauty.
2. Display.
3. Exhibition.
4. Mathematics.
5. Art.
6. Create.
3. Please write what the following referents (in bold letters) refer to in the text:
- Mathematicians often rhapsodize about the austere elegance of a well-wrought proof. But math also has a simpler sort of beauty that is perhaps easier to appreciate...
That refers to a simpler sort of beauty.- That beauty was richly on display at an exhibition of mathematical art at the Joint Mathematics Meeting in San Diego in January, where more than 40 artists showed their creations.
Where refer to an exhibition of mathematical art.It refers to any point on a piece of paper.
This process refer to the process of to move any point on a piece of paper to a different spot.
It refers to a pixel.
- The reason mathematicians are so fascinated by dynamical systems is that very simple equations can produce very complicated behavior. Field has found that such complex behavior can create some beautiful images.
Such complex behavior refers to behavior produced by very simple equations.His refer to Robert Bosch.
That refers to an old, seemingly trivial problem.
It refers to a loop of string.
Itself refer to the string.
One inside refer to one of the two regions.
One outside refer to the other region.
It refers to a line.
Who refer to the Topologists.
You refer to the persons that are reading this article.
This one refer to mathematical objects with very surprising properties.
After reading the text, please answer the following questions in your own words:
1. What is a mathematical dynamical System?
A mathematical dynamical System is any rule that determines how a point moves around a plane.
2. Why does the image "Coral Star" get more and more complex?
Coral Star gets more and more complex when is closer to the center, because it is discontinuous at the origin.
3. Find a definition of the following words that fits in the text, please acknowledge the source:
Loop, crinckly, string
Loop:
1. a. A length of line, thread, ribbon, or other thin material that is curved or doubled over making an opening.
b. The opening formed by such a doubled line.
2. Something having a shape, order, or path of motion that is circular or curved over on itself.
Source: http://www.thefreedictionary.com/Loop
Crinckly:
v.intr.
1. To form wrinkles or ripples.
2. To make a soft crackling sound; rustle.
v.tr.
To cause to crinkle.
n.
A wrinkle, ripple, or fold.
Source: http://www.thefreedictionary.com/crinkly
String:
1. A cord usually made of fiber, used for fastening, tying, or lacing.
2. Something configured as a long, thin line: limp strings of hair.
Source: http://www.thefreedictionary.com/string
4. Where did Robert Bosch take his inspiration from? Describe the source of his inspiration.
Robert Bosch took inspiration from an old problem that consists in to throw a loop of string to a piece of paper and to see if the loop divide the paper into two regions, one inside and the other outside.
5. What happened with Fathauer's arrangement? Why?
He saw that the shape was approximate to a pyramid and he found that their faces formed the Sierpinski Triangle, which is one of the first and most important fractal studied.
6. How did Andrew Pike create the Sierpinski carpet?
Andrew Pike took a square and divided it into a pattern of tic tac toe and took out the middle square and then he did the same with all the remaining squares infinitely.
7. Why did he choose that image?
He chooses that image because it was his auto-referential.